taiwan-gsat 2010 Q4

taiwan-gsat · Other · gsat__math Straight Lines & Coordinate Geometry Area Computation in Coordinate Geometry

4. On a coordinate plane, two points $A(1, 0)$ and $B(0, 1)$ are given. Consider three additional points $P(\pi, 1)$, $Q(-\sqrt{3}, 6)$, and $R\left(2, \log_{4} 32\right)$. Let the area of $\triangle PAB$ be $p$, the area of $\triangle QAB$ be $q$, and the area of $\triangle RAB$ be $r$. Which of the following options is correct?
(1) $p < q < r$
(2) $p < r < q$
(3) $q < p < r$
(4) $q < r < p$
(5) $r < q < p$

& 1 & & 16 & 6 & \multirow{2}{*}{F} & 26 & 4

4. On a coordinate plane, two points $A(1, 0)$ and $B(0, 1)$ are given. Consider three additional points $P(\pi, 1)$, $Q(-\sqrt{3}, 6)$, and $R\left(2, \log_{4} 32\right)$. Let the area of $\triangle PAB$ be $p$, the area of $\triangle QAB$ be $q$, and the area of $\triangle RAB$ be $r$. Which of the following options is correct?\\
(1) $p < q < r$\\
(2) $p < r < q$\\
(3) $q < p < r$\\
(4) $q < r < p$\\
(5) $r < q < p$

Paper Questions

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